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Finding the Fourth Proportional to 542,113.07, 813,209.54 and 142,751.07

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Solution

The fourth proportional to 542,113.07, 813,209.54 and 142,751.07 is: 214,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,113.07 : 813,209.54 = 142,751.07 : x
  2. Step 2: Convert to fraction form
    542,113.07/813,209.54 = 142,751.07/x
  3. Step 3: Cross multiply
    542,113.07x = 813,209.54 × 142,751.07
  4. Step 4: Simplify right side
    542,113.07x = 116,086,531,255.45
  5. Step 5: Solve for x
    x = 116,086,531,255.45/542,113.07
  6. Step 6: Final answer
    x = 214,137.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.